On the critical determinants of certain star bodies
In a classic paper [14], W.G. Spohn established the to-date sharpest estimates from below for the simultaneous Diophantine approximation constants for three and more real numbers. As a by-result of his method which used Blichfeldt’s Theorem and the calculus of variations, he derived a bound for the...
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Sciendo
2017-06-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.1515/cm-2017-0002 |
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doaj-81e543e292514af193c4b9140dd0ca892021-09-06T19:19:41ZengSciendoCommunications in Mathematics2336-12982017-06-0125151110.1515/cm-2017-0002cm-2017-0002On the critical determinants of certain star bodiesNowak Werner Georg0Institute of Mathematics, Department of Integrative Biology, BOKU Wien, 1180 Vienna, AustriaIn a classic paper [14], W.G. Spohn established the to-date sharpest estimates from below for the simultaneous Diophantine approximation constants for three and more real numbers. As a by-result of his method which used Blichfeldt’s Theorem and the calculus of variations, he derived a bound for the critical determinant of the star bodyhttps://doi.org/10.1515/cm-2017-0002geometry of numbersdiophantine approximationapproximation constantscritical determinant |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nowak Werner Georg |
| spellingShingle |
Nowak Werner Georg On the critical determinants of certain star bodies Communications in Mathematics geometry of numbers diophantine approximation approximation constants critical determinant |
| author_facet |
Nowak Werner Georg |
| author_sort |
Nowak Werner Georg |
| title |
On the critical determinants of certain star bodies |
| title_short |
On the critical determinants of certain star bodies |
| title_full |
On the critical determinants of certain star bodies |
| title_fullStr |
On the critical determinants of certain star bodies |
| title_full_unstemmed |
On the critical determinants of certain star bodies |
| title_sort |
on the critical determinants of certain star bodies |
| publisher |
Sciendo |
| series |
Communications in Mathematics |
| issn |
2336-1298 |
| publishDate |
2017-06-01 |
| description |
In a classic paper [14], W.G. Spohn established the to-date sharpest estimates from below for the simultaneous Diophantine approximation constants for three and more real numbers. As a by-result of his method which used Blichfeldt’s Theorem and the calculus of variations, he derived a bound for the critical determinant of the star body |
| topic |
geometry of numbers diophantine approximation approximation constants critical determinant |
| url |
https://doi.org/10.1515/cm-2017-0002 |
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AT nowakwernergeorg onthecriticaldeterminantsofcertainstarbodies |
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1717778065396858880 |